5 papers
Anderson Transition and Mobility Edges in a Family of 3D Fractal Lattices
Tianyu Li, Xin Tang, Sheng Liu +1
Anderson localization is fundamentally controlled by dimensionality, yet the nature of the Anderson transition in continuously tunable noninteger dimensions remains largely unexplo…
Topological Word for Non-Abelian Topological Insulators
Zhenming Zhang, Tianyu Li, Wei Yi
We propose a unified framework, dubbed topological word, for the complete non-Abelian bulk-boundary correspondence in multigap non-Abelian topological insulators. Composed by an or…
Anomalous localization and duality in non-Hermitian quasiperiodic models
Wenzhi Wang, Tianyu Li, Wei Yi
Boundary conditions can have dramatic impact in non-Hermitian systems, as exemplified by the non-Hermitian skin effect. Focusing on one-dimensional non-Hermitian quasiperioidic lat…
Family of self-dual quasicrystals with critical Phases
Wenzhi Wang, Wei Yi, Tianyu Li
We propose a general framework for constructing self-dual one-dimensional quasiperiodic lattice models with arbitrary-range hoppings and multifractal behaviors. Our framework gener…
Simulating Floquet non-Abelian topological insulator with photonic quantum walks
Quan Lin, Tianyu Li, Haiping Hu +2
Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent in their Abelian or static counterparts. Dubbed the Floquet non-…